The interplay between discrete and continuous mathematics is where some of the most interesting problems lie.
離散數(shù)學(xué)和連續(xù)數(shù)學(xué)之間的相互作用是一些最有趣的問題所在。
Sometimes the most profound mathematics comes from playing with simple ideas until they reveal their hidden complexity.
有時(shí)最深刻的數(shù)學(xué)來自于玩弄簡單的想法,直到它們展現(xiàn)出隱藏的復(fù)雜性。
The Erd?s discrepancy problem fascinated me because it was so simple to state yet so deep in its implications.
埃爾德什差異問題讓我著迷,因?yàn)樗愂銎饋砣绱撕唵?,但含義卻如此深刻。
Combinatorics is like the art of counting without actually counting.
組合數(shù)學(xué)就像是不用實(shí)際計(jì)數(shù)的計(jì)數(shù)藝術(shù)。
Persistence is key in mathematical research; many great results come from looking at the same problem from different angles over and over again.
在數(shù)學(xué)研究中,堅(jiān)持是關(guān)鍵;許多偉大的成果來自于一遍又一遍地從不同角度看待同一個(gè)問題。
The most exciting moments in mathematics are when you discover that two seemingly unrelated areas are deeply connected.
數(shù)學(xué)中最令人興奮的時(shí)刻是當(dāng)你發(fā)現(xiàn)兩個(gè)看似不相關(guān)的領(lǐng)域有著深刻的聯(lián)系。
In mathematics, the art of proposing a question must be held of higher value than solving it.
在數(shù)學(xué)中,提出問題的藝術(shù)必須比解決問題更有價(jià)值。
A good mathematician is someone who can see analogies between theorems; a great mathematician is someone who can see analogies between analogies.
一個(gè)好的數(shù)學(xué)家是能看到定理之間類比的人;一個(gè)偉大的數(shù)學(xué)家是能看到類比之間的類比的人。
The beauty of mathematics lies in its simplicity and universality.
數(shù)學(xué)的美在于它的簡潔性和普遍性。
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding.
數(shù)學(xué)不是關(guān)于數(shù)字、方程、計(jì)算或算法的:它是關(guān)于理解的。